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Finding the Third Proportional to 249,080 and 342,516

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Solution

The third proportional to 249,080 and 342,516 is: 471,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,080 : 342,516 = 342,516 : x
  2. Step 2: Convert to fraction form
    249,080/342,516 = 342,516/x
  3. Step 3: Cross multiply
    249,080x = 342,516 × 342,516
  4. Step 4: Simplify right side
    249,080x = 117,317,210,256
  5. Step 5: Solve for x
    x = 117,317,210,256/249,080
  6. Step 6: Final answer
    x = 471,002.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.